To estimate the product of [tex]\(19.9\)[/tex] and [tex]\(5.8\)[/tex], follow these steps:
1. Round each number to the nearest whole number:
- [tex]\(19.9\)[/tex] is closest to [tex]\(20\)[/tex]. So, we round [tex]\(19.9\)[/tex] to [tex]\(20\)[/tex].
- [tex]\(5.8\)[/tex] is closest to [tex]\(6\)[/tex]. So, we round [tex]\(5.8\)[/tex] to [tex]\(6\)[/tex].
2. Compute the product of the rounded numbers:
- Now, multiply the rounded numbers together:
[tex]\[
20 \times 6 = 120
\][/tex]
Therefore, estimating [tex]\(19.9 \times 5.8\)[/tex] gives us an approximate answer of:
[tex]\[
\boxed{120}
\][/tex]